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Finding the Fourth Proportional to 831.14, 1,146.81 and 477.18

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Solution

The fourth proportional to 831.14, 1,146.81 and 477.18 is: 658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.14 : 1,146.81 = 477.18 : x
  2. Step 2: Convert to fraction form
    831.14/1,146.81 = 477.18/x
  3. Step 3: Cross multiply
    831.14x = 1,146.81 × 477.18
  4. Step 4: Simplify right side
    831.14x = 547,234.80
  5. Step 5: Solve for x
    x = 547,234.80/831.14
  6. Step 6: Final answer
    x = 658.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.